SOME ASPECTS OF MATHEMATICAL MODELING OF ELECTRIC STEEL MELTING PROCESS

Abstract

The article discusses some aspects of mathematical modeling of the process of melting electric steel on the basis of innovative metallurgical technologies. It was noted that the production of electric steel mainly consists of three stages - preparation of the charge, melting and casting of liquid steel. The most important of these stages is the mathematical modeling of the melting process, especially the physicochemical processes that take place during melting. All physicochemical processes controlled in order to obtain the required chemical composition of electric steel for modeling are combined into two main groups, such as metal refining and alloying. Possibilities of mathematical modeling of electric steel melting processes have been identified: to successfully solve different types of problems without conducting pro¬duc¬tion experiments; to ensure optimal modes of melting in specific production conditions. The problems to be solved by mathematical modeling have been identified: con¬struc¬tion of a model for specific conditions that allow to achieve the required value of any parameter of the solution; possibility to purchase electric steel in specific conditions; minimum cost of material, time, labor and energy and required chemical composition, temperature and mass melting of steel; automatic control of all parameters of the solution. To solve these problems, the characteristics of static, dynamic and mixed mathematical models have been identified. It has been shown that a deterministic mathematical model can be applied to a system of equations expressing the functional relationships between the parameters of the solution and the factors affecting them. The mixed mathematical model includes equations expressing functional correlations. This model is actually a deterministic static model. Depending on the problem, the expediency of using appropriate models in the melting of electric steel is justified. In general, the creation of a mathematical model of melting processes of electric steel includes: dividing the melting into elementary physicochemical processes within the limits of each period, ie decomposing the melting process; to give a quantitative description of each elementary process, ie to describe the process mathematically; write a mathematical model of each cycle of melting by combining the quantitative characteristics of the parameters and elementary processes controlled on the basis of the equations of material and heat balances; to obtain a mathematical model of the solution as a whole by combining mathematical models of different periods. As an example of the application of mathematical modeling in electroplating processes, the amount of pores formed during the steel melting process in the main braided electric arc furnace was calculated using scrap metal. Keywords: electroplating steel, mathematical modeling, static model, dynamic model, deterministic model, mixed model, functional relationships.